Codazzi spinors and globally hyperbolic manifolds with special holonomy

2007/04/27 by Helga Baum, Olaf Müller, Baum, Helga +1 · 1 citation
Mathematics · Physics and Astronomy · #53C27 #53C29 #53C50 #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.0704.3725

openalex publication_date 2007/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we examine the structure of Riemannian manifolds with a special kind of Codazzi tensors. We use them to construct globally hyperbolic Lorentzian manifolds with complete Cauchy hypersurfaces for any weakly irreducible holonomy representation with parallel spinors, i.e. with a holonomy group which is a semidirect product between \R^n-2 and one of \1, SU(k), Sp(1), G₂ and Spin(7).

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